12768631600 has 60 divisors (see below), whose sum is σ = 30754291024. Its totient is φ = 5094524160.

The previous prime is 12768631583. The next prime is 12768631637. The reversal of 12768631600 is 613686721.

It is a happy number.

12768631600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118597 + ... + 199003.

Almost surely, 2^12768631600 is an apocalyptic number.

12768631600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12768631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377145512).

12768631600 is an abundant number, since it is smaller than the sum of its proper divisors (17985659424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12768631600 is a wasteful number, since it uses less digits than its factorization.

12768631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80822 (or 80811 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 12768631600 in words is "twelve billion, seven hundred sixty-eight million, six hundred thirty-one thousand, six hundred".